12818474510400 has 2016 divisors, whose sum is σ = 52102157212800. Its totient is φ = 3063155097600.

The previous prime is 12818474510251. The next prime is 12818474510407. The reversal of 12818474510400 is 401547481821.

12818474510400 is a `hidden beast` number, since 1 + 2 + 81 + 84 + 7 + 451 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12818474510407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47652321466 + ... + 47652321734.

Almost surely, 2^{12818474510400} is an apocalyptic number.

12818474510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12818474510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26051078606400).

12818474510400 is an abundant number, since it is smaller than the sum of its proper divisors (39283682702400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12818474510400 is a wasteful number, since it uses less digits than its factorization.

12818474510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 12818474510400 in words is "twelve trillion, eight hundred eighteen billion, four hundred seventy-four million, five hundred ten thousand, four hundred".